Open Access
2007 WEAKLY COMPLETELY CONTINUOUS SUBSPACES OF OPERATOR IDEALS
S. Mohammad Moshtaghioun
Taiwanese J. Math. 11(2): 523-530 (2007). DOI: 10.11650/twjm/1500404706

Abstract

By introducing the concept of weakly completely continuous subspaces of operator ideals, it will be given some characterizations of this concept, specially in terms of relative weak compactness of all point evaluations related to that subspace. Also it is shown that the only Banach spaces such that all closed subspace of an operator ideal between them has this property, are reflexive Banach spaces.

Citation

Download Citation

S. Mohammad Moshtaghioun. "WEAKLY COMPLETELY CONTINUOUS SUBSPACES OF OPERATOR IDEALS." Taiwanese J. Math. 11 (2) 523 - 530, 2007. https://doi.org/10.11650/twjm/1500404706

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1131.47060
MathSciNet: MR2333363
Digital Object Identifier: 10.11650/twjm/1500404706

Subjects:
Primary: 47L05 , 47L20
Secondary: 46B28 , 46B99

Keywords: Compact operator , ‎integral operator , operator ideal , strongly completely continuous , weakly completely continuous

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 2 • 2007
Back to Top